camera parenting with delay
sounds like you need a combination of Drivers (probably with expressions) , Camera Constraints and probably some manual tweaking. 

If you brake your animation in sub sequences (as you already described them but in a more meaningful way) you will better understand where and when you should use these techniques I mentioned above.

How to express reversed delay and|or gravity (a proposition):

For instance you already have a procedural animation which is your main animation (follow curve) and then you need additionally some more elegant and automated (procedural) animations. The first one was depended on a "3d object", the next one "pilots suffering" is depending on the first animation so thus for why you would go with a driver, looks more like an equation with two factors, camera direction (curve) and camera speed (tweaking the follow curve completion) by these two you may always know the acceleration (time | speed) so by a third factor you may express it as a simple equation, then it comes to your knowledge of math and your aesthetics to tweak it more.

It may sound a bit complicated but I think that you must try it first and get deeper into drivers and in general procedural and data driven animation.

hope that this was helpful, good luck !